Scientific data are a significant raw material of the 21st century. To exploit its value, a proper infrastructure that makes it Findable, Accessible, Interoperable, and Re-purposable – FAIR – is a must. For the fields of computational and experimental materials science, chemistry, and astronomy, FAIRDI sets out to make this happen. This enabling of extensive data sharing and collaborations in data-driven sciences (including artificial intelligence tools) will advance basic science and engineering, reaching out to industry and society.